SOLUTION: -8+4i/3-3i how do you put this in standard form

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Question 985763: -8+4i/3-3i how do you put this in standard form

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The number as you showed it, -8%2B4i%2F3-3i

The steps to put it into better form.
-8%2B%284%2F3%29i-3i
-8%2B%284%2F3%29i-%289%2F3%29i
highlight%28-8-%285%2F3%29i%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
-8+4i/3-3i how do you put this in standard form 
%28-+8+%2B+4i%29%2F%283+-+3i%29

%28%28-+8+%2B+4i%29%283+%2B+3i%29%29%2F%28%283+-+3i%29%283+%2B+3i%29%29------ Multiplying denominator and numerator by conjugate of denominator

%28-+24+-+24i+%2B+12i+%2B+12i%5E2%29%2F%289+-+9i%5E2%29

%28-+24+-+12i+%2B+12%28-+1%29%29%2F%289+-+9%28-+1%29%29

%28-+24+-+12i+-+12%29%2F%289+%2B+9%29

%28-+36+-+12i%29%2F18

%28-+36%2F18%29+-+%2812i%2F18%29%29

-+2+-+2i%2F3 -------> highlight_green%28-+2+-+%282%2F3%29i%29